Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2486 and 2494 the smallest integer that is 3100042 that is divisible by both numbers.
Least Common Multiple (LCM) of 2486 and 2494 is 3100042.
LCM(2486,2494) = 3100042
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2486 and 2494. First we will calculate the prime factors of 2486 and 2494.
Prime Factorization of 2486
2 | 2486 |
11 | 1243 |
113 | 113 |
1 |
Prime factors of 2486 are 2, 11,113. Prime factorization of 2486 in exponential form is:
2486 = 21×111×1131
Prime Factorization of 2494
2 | 2494 |
29 | 1247 |
43 | 43 |
1 |
Prime factors of 2494 are 2, 29,43. Prime factorization of 2494 in exponential form is:
2494 = 21×291×431
Now multiplying the highest exponent prime factors to calculate the LCM of 2486 and 2494.
LCM(2486,2494) = 21×111×291×431×1131
LCM(2486,2494) = 3100042
Factors of 2486
List of positive integer factors of 2486 that divides 2486 without a remainder.
1, 2, 11, 22, 113, 226, 1243, 2486
Factors of 2494
List of positive integer factors of 2494 that divides 2494 without a remainder.
1, 2, 29, 43, 58, 86, 1247, 2494
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2486 and 2494, than apply into the LCM equation.
GCF(2486,2494) = 2
LCM(2486,2494) = ( 2486 × 2494) / 2
LCM(2486,2494) = 6200084 / 2
LCM(2486,2494) = 3100042
(i) The LCM of 2494 and 2486 is associative
LCM of 2486 and 2494 = LCM of 2494 and 2486
1. What is the LCM of 2486 and 2494?
Answer: LCM of 2486 and 2494 is 3100042.
2. What are the Factors of 2486?
Answer: Factors of 2486 are 1, 2, 11, 22, 113, 226, 1243, 2486. There are 8 integers that are factors of 2486. The greatest factor of 2486 is 2486.
3. What are the Factors of 2494?
Answer: Factors of 2494 are 1, 2, 29, 43, 58, 86, 1247, 2494. There are 8 integers that are factors of 2494. The greatest factor of 2494 is 2494.
4. How to Find the LCM of 2486 and 2494?
Answer:
Least Common Multiple of 2486 and 2494 = 3100042
Step 1: Find the prime factorization of 2486
2486 = 2 x 11 x 113
Step 2: Find the prime factorization of 2494
2494 = 2 x 29 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3100042 = 2 x 11 x 29 x 43 x 113
Step 4: Therefore, the least common multiple of 2486 and 2494 is 3100042.